3 citations · 3 across the 4 of their papers we have counts for
4 papers
Toroidal normal forms for bifurcations in retarded functional differential equations II: Saddle-node/multiple Hopf interaction
Younsun Choi, Victor G. LeBlanc
In this paper, we study the realizability problem for retarded functional differential equations near an equilibrium point undergoing a nonlinear mode interaction between a saddle-…
Toroidal normal forms for bifurcations in retarded functional differential equations I: Multiple Hopf and transcritical/multiple Hopf interaction
Younsun Choi, Victor G. LeBlanc
For finite-dimensional bifurcation problems, it is well-known that it is possible to compute normal forms which possess nice symmetry properties. Oftentimes, these symmetries may a…
Equivariant versal unfoldings for linear retarded functional differential equations
Pietro-Luciano Buono, Victor G. LeBlanc
We continue our investigation of versality for parametrized families of linear retarded functional differential equations (RFDEs) projected onto finite-dimensional invariant manifo…
Versal unfoldings for linear retarded functional differential equations
Pietro-Luciano Buono, Victor G. LeBlanc
We consider parametrized families of linear retarded functional differential equations (RFDEs) projected onto finite-dimensional invariant manifolds, and address the question of ve…